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SpatialistsTool tip: Mapshaper: <a href="https://mapstodon.space/tags/Mapshaper" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Mapshaper</a> is a lightweight yet powerful geospatial toolkit offering <a href="https://mapstodon.space/tags/topology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#topology</a>-aware <a href="https://mapstodon.space/tags/simplification" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#simplification</a> (via Douglas-Peucker and Visvalingam algorithms), spatial operations, and more. Available across Windows, macOS, and Linux, it includes a... <a href="https://spatialists.ch/posts/2025/04-12-tool-tip-mapshaper/" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://spatialists.ch/posts/2025/04-12-tool-tip-mapshaper/</a> <a href="https://mapstodon.space/tags/GIS" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#GIS</a> <a href="https://mapstodon.space/tags/GISchat" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#GISchat</a> <a href="https://mapstodon.space/tags/geospatial" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geospatial</a> <a href="https://mapstodon.space/tags/SwissGIS" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#SwissGIS</a>

Alexandre B A Villares 🐍"Encode <a href="https://ciberlandia.pt/tags/spatial" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#spatial</a> data as <a href="https://ciberlandia.pt/tags/topology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#topology</a> in <a href="https://ciberlandia.pt/tags/Python" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Python</a>!With <a href="https://ciberlandia.pt/tags/topojson" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#topojson</a> it is possible to reduce the size of your spatial data. Mostly by orders of magnitude."<a href="https://mattijn.github.io/topojson/" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://mattijn.github.io/topojson/</a><a href="https://ciberlandia.pt/tags/geopython" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geopython</a> <a href="https://ciberlandia.pt/tags/geospacial" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geospacial</a> <a href="https://ciberlandia.pt/tags/GIS" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#GIS</a> <a href="https://ciberlandia.pt/tags/computationalGeometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#computationalGeometry</a>

2somethingCatfolk mathematicians are all topologists so they can use homeowmorphisms. <a href="https://transfem.social/tags/Topology" rel="nofollow noopener noreferrer" target="_blank">#Topology</a> <a href="https://transfem.social/tags/homeowmorphism" rel="nofollow noopener noreferrer" target="_blank">#homeowmorphism</a>

Albert P. CarpenterKepler pentafoil knot <a href="https://mathstodon.xyz/tags/knottheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#knottheory</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/topology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#topology</a> <a href="https://mathstodon.xyz/tags/knots" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#knots</a> <a href="https://mathstodon.xyz/tags/stem" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#stem</a> <a href="https://mathstodon.xyz/tags/steam" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#steam</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathart</a> <a href="https://mathstodon.xyz/tags/art" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#art</a>

2somethingFediblock topological spaces which are not locally contractible for not having CW-complexes. <a href="https://transfem.social/tags/Topology" rel="nofollow noopener noreferrer" target="_blank">#Topology</a> <a href="https://transfem.social/tags/CWComplexes" rel="nofollow noopener noreferrer" target="_blank">#CWComplexes</a>

Albert P. Carpenter2 knots: trefoil and pentafoil composed of rhombicosidodecahedra that can represent points as well <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/topology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#topology</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/geometrictopology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometrictopology</a> <a href="https://mathstodon.xyz/tags/knots" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#knots</a> <a href="https://mathstodon.xyz/tags/knottheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#knottheory</a>

Albert P. CarpenterKlein surface <a href="https://mathstodon.xyz/tags/Kleinbottle" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Kleinbottle</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/topology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#topology</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometry</a>

Albert P. CarpenterWith over 1500 math models and art, I happily invite all to come and explore. I hope there will be something to inspire you! All the content is in the creative commons. So, feel free to use it! <a href="https://sites.google.com/view/structuralgeometry/home" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://sites.google.com/view/structuralgeometry/home</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/topology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#topology</a> <a href="https://mathstodon.xyz/tags/3dprinting" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#3dprinting</a> <a href="https://mathstodon.xyz/tags/3dprintedmath" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#3dprintedmath</a>

Albert P. CarpenterFor Elsa Star Trewyn: Roelofs star dodecahedral polyknot and Kepler Star octahedral polyannuloid <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/knots" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#knots</a> <a href="https://mathstodon.xyz/tags/knottheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#knottheory</a> <a href="https://mathstodon.xyz/tags/topology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#topology</a> <a href="https://mathstodon.xyz/tags/geiometrictopology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geiometrictopology</a>

Albert P. CarpenterKepler trefoil knot inspired by Johannes Kepler <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/knots" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#knots</a> <a href="https://mathstodon.xyz/tags/knottheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#knottheory</a> <a href="https://mathstodon.xyz/tags/topology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#topology</a> <a href="https://mathstodon.xyz/tags/geometrictopology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometrictopology</a>

Albert P. Carpenter3D print and design for a monosurface (1-sided surface) <a href="https://mathstodon.xyz/tags/3dprintedmath" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#3dprintedmath</a> <a href="https://mathstodon.xyz/tags/3dprinting" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#3dprinting</a> <a href="https://mathstodon.xyz/tags/stem" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#stem</a> <a href="https://mathstodon.xyz/tags/steam" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#steam</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/topology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#topology</a> <a href="https://mathstodon.xyz/tags/surfaces" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#surfaces</a>

Albert P. Carpenter3D printed Kepler-Roelofs dodecahedral polyknot inspired by Rinus Roelofs and Johannes Kepler <a href="https://mathstodon.xyz/tags/3dprinting" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#3dprinting</a> <a href="https://mathstodon.xyz/tags/3dprintedmath" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#3dprintedmath</a> <a href="https://mathstodon.xyz/tags/stem" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#stem</a> <a href="https://mathstodon.xyz/tags/steam" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#steam</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/topology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#topology</a> <a href="https://mathstodon.xyz/tags/knots" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#knots</a> <a href="https://mathstodon.xyz/tags/knottheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#knottheory</a> <a href="https://mathstodon.xyz/tags/polyknots" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#polyknots</a>

John Vaccaro (johniac)SciTech Chronicles. . . . . . . . .April 1st, 2025<a href="https://bit.ly/stc040125" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://bit.ly/stc040125</a><a href="https://mastodon.social/tags/bioproducts" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#bioproducts</a> <a href="https://mastodon.social/tags/waste" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#waste</a> <a href="https://mastodon.social/tags/polyhydroxyalkanoates" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#polyhydroxyalkanoates</a> <a href="https://mastodon.social/tags/3D" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#3D</a>-Printing <a href="https://mastodon.social/tags/Bellingshausen" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Bellingshausen</a> <a href="https://mastodon.social/tags/A" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#A</a>-84 <a href="https://mastodon.social/tags/seafloor" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#seafloor</a> <a href="https://mastodon.social/tags/sediment" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#sediment</a> <a href="https://mastodon.social/tags/PEDOT" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#PEDOT</a>:PSS <a href="https://mastodon.social/tags/crosslinker" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#crosslinker</a> <a href="https://mastodon.social/tags/ions" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#ions</a> <a href="https://mastodon.social/tags/bioelectronic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#bioelectronic</a> <a href="https://mastodon.social/tags/polyfluoroalkyl" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#polyfluoroalkyl</a> <a href="https://mastodon.social/tags/graphene" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#graphene</a> <a href="https://mastodon.social/tags/FJH" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#FJH</a> <a href="https://mastodon.social/tags/GAC" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#GAC</a> <a href="https://mastodon.social/tags/renewables" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#renewables</a> <a href="https://mastodon.social/tags/topology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#topology</a> <a href="https://mastodon.social/tags/forecasting" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#forecasting</a> <a href="https://mastodon.social/tags/spatio" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#spatio</a>-temporal

Albert P. Carpenter3D print of a Hart dodecahedral polyknot inspired by sculptor George Hart with graphic design <a href="https://mathstodon.xyz/tags/mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathart</a> <a href="https://mathstodon.xyz/tags/3dprinting" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#3dprinting</a> <a href="https://mathstodon.xyz/tags/3dprintedmath" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#3dprintedmath</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/topology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#topology</a> <a href="https://mathstodon.xyz/tags/knots" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#knots</a> <a href="https://mathstodon.xyz/tags/knottheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#knottheory</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/polyhedra" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#polyhedra</a> More of my math art can be seen at: <a href="https://sites.google.com/view/structuralgeometry/home?pli=1" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://sites.google.com/view/structuralgeometry/home?pli=1</a>

Albert P. Carpenter3D Printed Kepler-Roelofs dodecahedral polyknot Inspired by Johannes Kepler and Rinus Roelofs <a href="https://mathstodon.xyz/tags/mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathart</a> <a href="https://mathstodon.xyz/tags/3dprinting" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#3dprinting</a> <a href="https://mathstodon.xyz/tags/3dprintedmath" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#3dprintedmath</a> <a href="https://mathstodon.xyz/tags/stem" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#stem</a> <a href="https://mathstodon.xyz/tags/steam" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#steam</a> <a href="https://mathstodon.xyz/tags/knots" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#knots</a> <a href="https://mathstodon.xyz/tags/knottheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#knottheory</a> <a href="https://mathstodon.xyz/tags/polyknots" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#polyknots</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/topology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#topology</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/art" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#art</a>

Albert P. CarpenterRoelofs dodecahedral polychain inspired by mathematical artist Rinus Roelofs <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/art" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#art</a> <a href="https://mathstodon.xyz/tags/mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathart</a> <a href="https://mathstodon.xyz/tags/stem" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#stem</a> <a href="https://mathstodon.xyz/tags/steam" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#steam</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/topology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#topology</a> @RinusRoelofs

Albert P. Carpentera Hart-Escher star dodecahedral polyknot . Inspired by sculptor George Hart and mathematical artist MC Escher <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/art" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#art</a> <a href="https://mathstodon.xyz/tags/mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathart</a> <a href="https://mathstodon.xyz/tags/stem" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#stem</a> <a href="https://mathstodon.xyz/tags/steam" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#steam</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/topology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#topology</a> <a href="https://mathstodon.xyz/tags/knots" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#knots</a> <a href="https://mathstodon.xyz/tags/polyknots" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#polyknots</a>

Albert P. Carpenteran Escher triakistetrahedral polyknot <a href="https://mathstodon.xyz/tags/topology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#topology</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/knottheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#knottheory</a> <a href="https://mathstodon.xyz/tags/knots" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#knots</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/polyknots" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#polyknots</a>

Albert P. Carpentera Stewart cluster nested inside a Kepler dodecahedron nested inside an Escher dodecahedral polyknot <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/stem" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#stem</a> <a href="https://mathstodon.xyz/tags/knottheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#knottheory</a> <a href="https://mathstodon.xyz/tags/topology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#topology</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/knots" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#knots</a>

Albert P. Carpenteran Escher cuboctahedral polyknot <a href="https://mathstodon.xyz/tags/mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathart</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/stem" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#stem</a> <a href="https://mathstodon.xyz/tags/steam" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#steam</a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/topology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#topology</a> <a href="https://mathstodon.xyz/tags/knots" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#knots</a> <a href="https://mathstodon.xyz/tags/polyknots" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#polyknots</a>

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